Issolvi k/2x-4-1=x/1-2

$$\frac { k } { 2 x - 4 } - 1 = \frac { x } { 1 - 2 }$$

Solvi għal k

$$k=-2\left(x-2\right)\left(x-1\right)$$

$$x\neq 2$$

Passi tas-Soluzzjonijiet

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'2\left(x-2\right).

$$k+2\left(x-2\right)\left(-1\right)=\left(-2x+4\right)x$$

Immultiplika 2 u -1 biex tikseb -2.

$$k-2\left(x-2\right)=\left(-2x+4\right)x$$

Uża l-propjetà distributtiva biex timmultiplika -2 b'x-2.

$$k-2x+4=\left(-2x+4\right)x$$

Uża l-propjetà distributtiva biex timmultiplika -2x+4 b'x.

$$k-2x+4=-2x^{2}+4x$$

Żid 2x maż-żewġ naħat.

$$k+4=-2x^{2}+4x+2x$$

Ikkombina 4x u 2x biex tikseb 6x.

$$k+4=-2x^{2}+6x$$

Naqqas 4 miż-żewġ naħat.

$$k=-2x^{2}+6x-4$$

Solvi għal x (complex solution)

$$\left\{\begin{matrix}\\x=\frac{-\sqrt{1-2k}+3}{2}\text{, }&\text{unconditionally}\\x=\frac{\sqrt{1-2k}+3}{2}\text{, }&k\neq 0\end{matrix}\right.$$

Solvi għal x

$$\left\{\begin{matrix}x=\frac{-\sqrt{1-2k}+3}{2}\text{, }&k\leq \frac{1}{2}\\x=\frac{\sqrt{1-2k}+3}{2}\text{, }&k\neq 0\text{ and }k\leq \frac{1}{2}\end{matrix}\right.$$